Thursday, May 28, 2026 - 16:00 in V2-210/216
Combinatorial Slicing Problems of Polytopes
A talk in the Mathematisches Kolloquium series by
Marie Brandenburg from Ruhr-Universität Bochum
| Abstract: |
Given a 3-dimensional cube, its intersection with an affine hyperplane is always a polygon with 3, 4, 5, or 6 vertices. But what are the slices of a general polytope?
In this talk, we examine the combinatorial structure of all possible hyperplane sections of a polytope and develop an algorithm to enumerate all combinatorial types of sections. We then consider slices of the cube in dimensions 4, 5, and 6, and derive conjectures about slices of cubes in any dimension.
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